9514 1404 393
Answer:
(-7, -6)
Step-by-step explanation:
The solution to the system of equations is the point that is on both lines: their point of intersection. That point is (-7, -6).
If x=16-4y then in your other equation 3x+4y=8 you can put that where x is to get:
3(16-4y)+4y=8
Then multiply brackets to get:
48-12y+4y=8
Simplify:
48-8y=8
Rearrange:
40=8y
Divide through by 8:
y=5
Then put y=5 back into x=16-4y to get x:
x=16-4(5)
x=16-20
x=-4
Answer:
0.07378
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/√n, where
x is the raw score = 65 inches
μ is the population mean= 64.5 inches
σ is the population standard deviation = 2.99
n = 75
z = 65 - 64.5 /2.99/√75
z = 0.5/0.345255461
z = 1.4482
Probability value from Z-Table:
P(x<25) = 0.92622
P(x>25) = 1 - P(x<25)
= 1 - 92622
= 0.07378
The probability that the mean height for the sample is greater than 65 inches is 0.07378
2, 5, 8, 11, 14 is an arithmetic sequence
Answer:
x = 70
Step-by-step explanation:
180 - 112 = 68
2x + 2x + 12 + 68 = 360
4x + 80 = 360
4x = 360 - 80
4x = 280
x = 280/4
x = 70
2x = 2*70 = 140
2x + 12 = 2*70 + 12 = 152
180 - 140 = 40
112 + 40 = 152
180 - 152 = 28
112 + 28 = 140
